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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 233 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the minute hand of a clock turn in 47 minutes? =
  2. 2.A clock shows 11:50. What time will it show 118 minutes later? (a) 1:58 (b) 2:48 (c) 1:48 (d) 1:38
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  4. 4.A clock shows 2:49. What time will it show 63 minutes later? (a) 4:52 (b) 3:52 (c) 3:42 (d) 4:02
  5. 5.How many degrees does the minute hand of a clock turn in 21 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 40 minutes? =
  9. 9.A clock shows 9:54. What time will it show 99 minutes later? (a) 11:23 (b) 11:33 (c) 12:33 (d) 11:43
  10. 10.How many degrees does the hour hand of a clock turn in 85 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 14 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 122 minutes? =
  13. 13.A clock shows 3:38. What time will it show 120 minutes later? (a) 6:38 (b) 5:48 (c) 5:38 (d) 5:28
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  17. 17.A clock shows 5:34. What time will it show 54 minutes later? (a) 6:18 (b) 6:28 (c) 7:28 (d) 6:38
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  19. 19.A clock shows 12:23. What time will it show 14 minutes later? (a) 1:37 (b) 12:47 (c) 12:37 (d) 12:27
  20. 20.How many degrees does the hour hand of a clock turn in 147 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 25 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 9 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 67 minutes? =
  27. 27.A clock shows 11:57. What time will it show 146 minutes later? (a) 2:33 (b) 2:23 (c) 2:13 (d) 3:23
  28. 28.How many degrees does the hour hand of a clock turn in 43 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  30. 30.A clock shows 10:30. What time will it show 147 minutes later? (a) 12:57 (b) 1:07 (c) 12:47 (d) 1:57
  31. 31.A clock shows 6:12. What time will it show 23 minutes later? (a) 6:45 (b) 6:35 (c) 6:25 (d) 7:35
  32. 32.How many degrees does the hour hand of a clock turn in 138 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 58 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 25 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 33 minutes? =
  37. 37.A clock shows 5:11. What time will it show 110 minutes later? (a) 6:51 (b) 8:01 (c) 7:01 (d) 7:11
  38. 38.How many degrees does the minute hand of a clock turn in 29 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 15 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =

Answer key

  1. 282
  2. 1:48
  3. 50
  4. 3:52
  5. 126
  6. 90.5
  7. 23
  8. 20
  9. 11:33
  10. 42.5
  11. 84
  12. 61
  13. 5:38
  14. 39.5
  15. 176
  16. 85
  17. 6:28
  18. 116
  19. 12:37
  20. 73.5
  21. 12.5
  22. 134
  23. 98
  24. 58
  25. 54
  26. 33.5
  27. 2:23
  28. 21.5
  29. 44.5
  30. 12:57
  31. 6:35
  32. 69
  33. 29
  34. 45.5
  35. 150
  36. 16.5
  37. 7:01
  38. 174
  39. 90
  40. 139.5

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